复矩阵

复矩阵Am×n的具有指定秩的｛2｝－逆的结构

The Structure of { 2 } - inverse with Designated Rank of Complex Matrix A m × n

令A为一n×n复矩阵，且令这个比率d称为矩阵A的优势比。

Let A be an n × n complex matrix , and let The radio d is called dominance ratio of matrix A.

Lagrange基函数的复矩阵有理插值及连分式插值

Complex matrix valued rational interpolation for Lagrange basic functions and continued fraction interpolation

四维Clifford代数的复矩阵表示及其应用

The complex matrix representation of 4-dimensional Clifford algebra and its application

求复矩阵奇异值的复单边Jacobi型方法

Complex one-sided Jacobi method for the SVD of a complex matrix

本文讨论12种双结构复矩阵的Jordan标准型。

In this paper , Jordan canonical forms for 12 kinds of doubly structured matrices are discussed .

一种采用Householder变换递归实现的复矩阵QR分解算法

A Complex QR Decomposition Algorithm Using Recursive Householder Transformation

亚正定复矩阵的乘积、Kronecker积与Hadamard积

Product , Kronecker Product and Hadamard Product of Inferior Positive Define Complex Matrices

复矩阵Hermitian部分的2~n次幂等性

2 ~ n Idempotency of the Hermitian part of a complex matrix

给出了四维Clifford代数的复矩阵表示，证明了此表示的一些基本性质。

The complex matrix representation of elements in 4-dimensional Clifford algebra is established , some properties of this representation are proved .

我们从Clifford数的表达式出发，给出了四维Clifford数的复矩阵表示，并研究了此表示的一些基本性质；

Starting from the expression of an element in Clifford algebra , we establish the complex matrix representation of 4-dimensional Clifford numbers and several properties are obtained .

在稳态近似下通过Fokker-Planck方程，用复矩阵连分数方法研究了裂变速率。

The fission rate in the steady approximation is calculated from the Fokker-Planck equation by means of a complex matrix continued fraction method .

如果空间存在1个反射对称平面，该2N×2N复矩阵可约化为1对互为共轭N×N复矩阵或1个2N×2N实矩阵；

If there exists one reflection symmetrical plane , this 2N × 2N complex matrix can be reduced to a pair of conjugate N × N complex matrices or one 2N × 2N real matrix .

本文给出了关于任意n阶复矩阵迹的几个不等式，作为它的推论，包括了文[1,2]中相应的内容，并拓广到反厄米特矩阵和Cauchy不等式。

This paper puts forward some inequalities in relation to the trace of arbitrary infinite complex matrices , which extend to anti-Hermitian matrices and Cauchy inequality and embody the results in paper 〔 1 〕,〔 2 〕, and 〔 3 〕 as corollaries .

在数据求逆过程中本文创新性地运用改进的Householder变换递归QR分解法对复矩阵求逆，提高了数据反变换的稳定性和精度。

In the present paper , QR decomposition is firstly used to solve the complex matrix inversion . The QR decomposition method can improve the stability and precision of the inverse transform .

后来Markham和Fiedler将抽象的理论转化为研究矩阵，使得这一理论在实矩阵和复矩阵中有所应用。

Later Markham and Fiedler will abstract theory into research matrix , makes this theory in real matrix and complex matrix has applications .

给出正定复矩阵的两个不等式：设A是n阶正定复矩阵，B是n阶正定Hermite矩阵，则A+Bs≥As+Bs；

This paper provides two inequalities of complex positive definite matrix . If A is a complex positive definite matrix of n × n , B is a positive definite Hermite matrix of n × n , then A + B s ≥ A s + B s ;

本文将对实矩阵的快速Givens变换推广到复矩阵的快速Givens变换，并讨论了用快速Givens变换将Hermite阵酉相似变换到实三对角阵的方法。

In this paper , a fast Givens transformation for real matrix is extended to fast Givens transformation for complex matrix , an algorithm is given to reduce Hermite matrix to real tridiagonal form by fast Givens rotations .

给出正定复矩阵的若干个等价条件，讨论了正定复矩阵的主子阵的特征值、行列式模的不等式及正定复矩阵的Schur补。

Some equivalent conditions of the positive definite complex matrix are given . The eigenvalues of its principal minor matrix and inequalities of determinants ' model are discussed , and the Schur complement is extended to positive definite complex matrix .

反标架正规化设计方法（RFN）是以复矩阵的奇异值分解为基础，以最小二乘拟合为手段，以系统的传递函数矩阵的配正为目的的一种鲁棒系统设计方法。

Reversed frame normalizing design procedure is a kind of robust system design ways which makes transfer matrix of system be approximately normal by Using singular value decomposition of matrix and least-square fitting in the design of controller .

并基于该方法实现了算法已知的一般复矩阵的奇异值分解（CSVD）运算，很好地满足了实际工程信号处理软件模块的需要，证明了该方法的正确性。

And its application on Singular Value Decomposition ( SVD ) of a general complex matrix , which meets the requirement arising in software development of signal processing module of our project very well and is illustrated for the validity of the method , is given out .

复矩阵广义逆和加权广义逆的递归计算公式

On the recursive computing formulae of generalized inverse and weighted generalized inverse

一类复矩阵分布的矩的结构

Moment Structures of a Class of Complex Random Matrix Distribution

两个复矩阵乘积的特征值估计

The Estimation of Eigenvalues of Two Complex Matrice ' Product

复矩阵的直积与圈积的正定性

The Positive Definite Nature of Direct Product and Circular Product of Complex Matrix

基于动力学方程求解复矩阵特征值问题的并行实现

On Parallel Implementation of Dynamic Equations for Solving Eigenvalue Problems of Complex Matrices

两类复矩阵的复相合标准形

Complex congruence canonical form of Two Class Complex Matrices

一类复矩阵的特征性质

The Characteristic Property of a Class of Complex Matrices

关于一类复矩阵的标准化

On the Standardization of a Class of Complex Matrix

复矩阵特征值的两种估计方法

Two ways estimating character of a complex matrix